Results 71 to 80 of about 71,062 (275)
On zeros of some composite functions
Lietuvos Matematikos Rinkinys, 2011 We obtain an estimate of the number of zeros for the function F(zeta(s + i mh)), where zeta(s) is the Riemann zeta-function, and F : H(D)–> H(D) is a continuous function, D = {s ꞓ C: 1/2 < sigma < 1}.
Jovita Rašytė
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A remark on the Riemann zeta function
, 2022 We prove that if the number of nontrivial zeros of the Riemann zeta function which are not on the critical line is finite, then every nontrivial zero is on the critical line.
openaire +1 more source
Fortschritte der Physik, EarlyView.Abstract In this study, the properties, equilibrium, and stability of compact objects within the framework of teleparallel gravity with the generalized MIT bag model are investigated. By incorporating the modified field equations, the influence of the generalized bag constant on the structure and physical characteristics of quark stars and neutron ...
Sayantan Ghosh +2 more
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On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis
, 2013 Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equaling zero.
Bui, H. M. +2 more
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Bandlimited approximations and estimates for the Riemann zeta-function [PDF]
Publicacions matemàtiques, 2017 In this paper, we provide explicit upper and lower bounds for the argument of the Riemann zeta-function and its antiderivatives in the critical strip under the assumption of the Riemann hypothesis.
E. Carneiro +2 more
semanticscholar +1 more source
Optimizing calibration designs with uncertainty in abilities
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Before items can be implemented in a test, the item characteristics need to be calibrated through pretesting. To achieve high‐quality tests, it's crucial to maximize the precision of estimates obtained during item calibration. Higher precision can be attained if calibration items are allocated to examinees based on their individual abilities ...
Jonas Bjermo +2 more
wiley +1 more source
An investigation of the non-trivial zeros of the Riemann zeta function
, 2020 The zeros of the Riemann zeta function outside the critical strip are the so-called trivial zeros. While many zeros of the Riemann zeta function are located on the critical line $\Re(s)=1/2$, the non-existence of zeros in the remaining part of the ...
Heymann, Yuri
core
A new generalization of the Riemann zeta function and its difference equation
Advances in Difference Equations, 2011 We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar +2 more
doaj
Fractional gaussian noise: Spectral density and estimation methods
Journal of Time Series Analysis, EarlyView.The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1), is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
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Cointegrating Polynomial Regressions With Power Law Trends
Journal of Time Series Analysis, EarlyView.ABSTRACT The common practice in cointegrating polynomial regressions (CPRs) often confines nonlinearities in the variable of interest to stochastic trends, thereby overlooking the possibility that they may be caused by deterministic components. As an extension, we propose univariate and multivariate CPRs that incorporate power law deterministic trends.
Yicong Lin, Hanno Reuvers
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